(10 points) One mole of a monoatomic (C=3/2) ideal gas at temperature T is in a gas cylinder with volume Veylinder = 1 m. The cylinder is contained in an air-tight thermally-insulated chamber with volume V chamber = 16 m (which includes the volume of the cylinderand you may assume the cylinder walls have negligible volume). The chamber is aboard the International Space Station, far above the Earth. a) The cylinder is opened by remote control and the gas is allowed to expand freely to fill the chamber. Calculate the increase in entropy. b) While repeating the experiment, an accident occurs, and the gas expands freely from the cylinder out into deep space. Calculate the increase in entropy. State any assumptions that you make. Useful (and useless) information: Gas constant: R = 5.314 Joules mol'K Speed of light: c = 3 x 10 m sec! Gravitational constant: 5-9.8 meters/sec Distance to farthest observable object in universe-13 billion light years Mass of a quarter: m-5.67 g Heat capacity of water: C = 4.184 joules/8-C Density of water: d=1g/cm Heat capacity of ale: approximately the same as water 1 liter -2.11 pints